Test the claim that the mean GPA of night students is larger than 2.5 at the 0.10 significance level. The null and alternative hypotheses would be: H0: ? = 2.5, H1: ? ? 2.5 H0: ? = 2.5, H1: ? < 2.5 H0: p = 0.625, H1: p ? 0.625 H0: p = 0.625, H1: p < 0.625 H0: p = 0.625, H1: p > 0.625 H0: ? = 2.5, H1: ? > 2.5 The test is: two-tailed left-tailed right-tailed Based on a sample of 38 people, the sample mean GPA was 2.51 with a standard deviation of 0.18 The p-value is: (to 3 decimals) The significance level is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis
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We are testing the claim that the mean GPA of night students is larger than 2.5. So, we are looking for evidence of a higher mean, not just a different mean. This means our alternative hypothesis should be one-sided, not two-sided. Show more…
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